Absolutely. And that's a wonderful (and, scientifically) accurate way to describe self-identity (or, self-esteem, as Sofs pointed out).
Intrapersonal dialogue (discourse between the left and right side of our brains) produces our sentience. Emotions acknowledge logic—as rationality feels alive—self-criticizing and self-assuring at the same time.
But, beyond that, you can talk with God, your spirit (which is the oldest form of you that's in touch with God, outside of time), or, as a neurobiologist would phrase it, your mind. Where the idea comes from, however its magic works, I think we all agree it's what makes us human.
Thanks for the great question,